A cyclist rides her bike at a rate of 5 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 3 hours?

Question

A cyclist rides her bike at a rate of 5 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in  3 hours?

anonymous · Answer

Rate;    = km/h
Distance is 3 hours = km

anonymous · Answer

@SolomonZelman @hartnn

solomonzelman · Answer

convert:
1 km = 1000 meters
1 hour = 360 seconds

5 meters per seconds= (1/200)km per 1/72 hours

solomonzelman · Answer

So far so good?

anonymous · Answer

okay yes

anonymous · Answer

18,000km/1000h

solomonzelman · Answer

How do you get this? I don't think so.

anonymous · Answer

the mins and seconds cancel out so ur left with 1h n 1km

anonymous · Answer

so makes it 18km in 1 hour

solomonzelman · Answer

1 sec / 5 meters
360 sec / 1800 meters
1 hour / 1800 meters
1 hour / 1.8 km

anonymous · Answer

so that would be the rate

solomonzelman · Answer

1 sec / 5 meters
360 sec / 1800 meters
1 hour / 1800 meters
1 hour / 1.8 km

solomonzelman · Answer

See?

anonymous · Answer

yah but the seconds cancel out

solomonzelman · Answer

what do you mean?

anonymous · Answer

5m/1s  x 60s/1min x 60min/1hr x 1km/1000m

anonymous · Answer

all those cancel out besides the 1h and the 1 km

anonymous · Answer

5 x 60 x 60 = 18000

anonymous · Answer

1 x 1000 = 1000
so 18000/1000 divide it
18km/h

solomonzelman · Answer

what I did was,

1 sec / 5 meters                 <- both times 360
360 sec / 1800 meters       
1 hour / 1800 meters         <- b/c   360 sec=1 hour
1 hour / 1.8 km                  <- b/c   1000 km=meters, therefore 1800 meters is 1.8 km

MAKES SENSE?